Can upgrading the SSD in the Dell XPS 13 save you money?

It's a fairly simple process, so could you save some money by adding more storage yourself?
Upgrading laptops has always been more difficult than their desktop counterparts. Today's ultrabooks are the most difficult yet, with many parts becoming integrated in the pursuit of form factor. In the case of the Dell XPS 13, however, there is one upgrade you can do.
Changing out the SSD drive is a fairly simple process that requires only time and a being able to work a screwdriver. It's no secret you can usually find aftermarket parts cheaper than manufacturers would charge you for the same.
So is it worth saving money up front on the XPS 13 and adding more storage yourself?